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Article: On fluid motion in librating ellipsoids with moderate equatorial eccentricity
Title | On fluid motion in librating ellipsoids with moderate equatorial eccentricity | ||||||||||||
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Authors | |||||||||||||
Keywords | geophysical and geological flows rotating flows topographic effects | ||||||||||||
Issue Date | 2011 | ||||||||||||
Publisher | Cambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM | ||||||||||||
Citation | Journal Of Fluid Mechanics, 2011, v. 673, p. 468-479 How to Cite? | ||||||||||||
Abstract | The motion of a homogeneous fluid of viscosity confined in a librating ellipsoidal cavity with semi-axes a and moderate equatorial eccentricity is investigated. The ellipsoid rotates with an angular velocity 0(1 + sint), where 0 is the mean rate of rotation, is the libration frequency and 0 represents the amplitude of longitudinal libration. When 2 and E 1/2 2 1, where E is the Ekman number defined as E = /(a 20), an explicit analytical solution describing fluid motion in librating ellipsoids is derived for any size of the libration frequency. Three-dimensional numerical simulations of the same problem are also performed, revealing the generation of mean zonal flow in librating ellipsoidal cavities and showing a satisfactory agreement between the asymptotic and numerical analyses. Copyright © Cambridge University Press 2011. | ||||||||||||
Persistent Identifier | http://hdl.handle.net/10722/135160 | ||||||||||||
ISSN | 2023 Impact Factor: 3.6 2023 SCImago Journal Rankings: 1.565 | ||||||||||||
ISI Accession Number ID |
Funding Information: K.Z. would like to thank J. Laskar who was able to provide an alternative proof for B<INF>nk</INF> = 0 after K.Z. gave a talk on the problem. We also thank J. Noir and J. Aurnou for helpful discussion about the problem. K.Z. is supported by UK NERC and STFC grants, K. H. C. is supported by Hong Kong RGC grants 700308 and 700310 and X. L. is supported by NSFC/10633030 and CAS grants. The parallel computation is supported by Shanghai Supercomputer Center and Swiss National Supercomputing Center. | ||||||||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhang, K | en_HK |
dc.contributor.author | Chan, KH | en_HK |
dc.contributor.author | Liao, X | en_HK |
dc.date.accessioned | 2011-07-27T01:29:10Z | - |
dc.date.available | 2011-07-27T01:29:10Z | - |
dc.date.issued | 2011 | en_HK |
dc.identifier.citation | Journal Of Fluid Mechanics, 2011, v. 673, p. 468-479 | en_HK |
dc.identifier.issn | 0022-1120 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/135160 | - |
dc.description.abstract | The motion of a homogeneous fluid of viscosity confined in a librating ellipsoidal cavity with semi-axes a and moderate equatorial eccentricity is investigated. The ellipsoid rotates with an angular velocity 0(1 + sint), where 0 is the mean rate of rotation, is the libration frequency and 0 represents the amplitude of longitudinal libration. When 2 and E 1/2 2 1, where E is the Ekman number defined as E = /(a 20), an explicit analytical solution describing fluid motion in librating ellipsoids is derived for any size of the libration frequency. Three-dimensional numerical simulations of the same problem are also performed, revealing the generation of mean zonal flow in librating ellipsoidal cavities and showing a satisfactory agreement between the asymptotic and numerical analyses. Copyright © Cambridge University Press 2011. | en_HK |
dc.language | eng | en_US |
dc.publisher | Cambridge University Press. The Journal's web site is located at http://journals.cambridge.org/action/displayJournal?jid=FLM | en_HK |
dc.relation.ispartof | Journal of Fluid Mechanics | en_HK |
dc.rights | Copyright © Cambridge University Press 2011. This article is available online at http://dx.doi.org/10.1017/S0022112011000735. | en_US |
dc.subject | geophysical and geological flows | en_HK |
dc.subject | rotating flows | en_HK |
dc.subject | topographic effects | en_HK |
dc.title | On fluid motion in librating ellipsoids with moderate equatorial eccentricity | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Chan, KH:mkhchan@hku.hk | en_HK |
dc.identifier.authority | Chan, KH=rp00664 | en_HK |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1017/S0022112011000735 | en_HK |
dc.identifier.scopus | eid_2-s2.0-79956036762 | en_HK |
dc.identifier.hkuros | 188098 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79956036762&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 673 | en_HK |
dc.identifier.spage | 468 | en_HK |
dc.identifier.epage | 479 | en_HK |
dc.identifier.eissn | 1469-7645 | - |
dc.identifier.isi | WOS:000289534000018 | - |
dc.publisher.place | United Kingdom | en_HK |
dc.identifier.scopusauthorid | Zhang, K=7404451892 | en_HK |
dc.identifier.scopusauthorid | Chan, KH=7406033542 | en_HK |
dc.identifier.scopusauthorid | Liao, X=7202134147 | en_HK |
dc.identifier.issnl | 0022-1120 | - |